First a duality theory is developed for arbitrary finite-dimensional algebras Λ and Λ′. It
provides a characterization of the contravariant equivalences which link resolving …

The purpose of this article is threefold: The first is to provide an overview of old and recent
findings which relate finite dimensional tilting modules over a finite dimensional algebra Λ to …

For any truncated path algebra Λ, we give a structural description of the modules in the
categories P^< ∞ (Λ-\rm mod) and P^< ∞ (Λ-\rm mod), consisting of the finitely generated …

Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …

Let $\Lambda= k\overrightarrow {\Delta} $ be the path algebra of a finite quiver without
oriented cycles. The set of isomorphism classes of multiplicity free tilting modules is in a …

Throughout, unless specified otherwise, Q denotes a finite and connected quiver, k is a field
and all algebras are considered to be basic, connected, associative and finite dimensional …

Let k be an algebraically closed field. By algebra A, we mean a finite dimensional
associative k-algebra, which we assume moreover to be basic and connected. For such an …

Happel and Unger defined a partial order on the set of basic tilting modules. We study the
poset of basic preprojective tilting modules over path algebras of representation-infinite type …

For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

Tilting procedures are a well-known instrument in order to construct from a given finite
dimensional algebra A new algebras with related representation theory (compare [4],[7],[3]); …